Finding the Third Proportional to 116,188 and 179,502

Step by Step Solution

1. Step 1: Write the proportion equation
   116,188 : 179,502 = 179,502 : x
2. Step 2: Convert to fraction form
   116,188/179,502 = 179,502/x
3. Step 3: Cross multiply
   116,188x = 179,502 × 179,502
4. Step 4: Simplify right side
   116,188x = 32,220,968,004
5. Step 5: Solve for x
   x = 32,220,968,004/116,188
6. Step 6: Final answer
   x = 277,317.52